Linked twist mappings are almost anosov

1980 ◽  
pp. 121-145 ◽  
Author(s):  
Robert L. Devaney
Keyword(s):  
Twist Mappings ◽  
Almost Anosov

scholarly journals Pressure Function and Limit Theorems for Almost Anosov Flows

2021 ◽  
Vol 382 (1) ◽  
pp. 1-47
Author(s):  
Henk Bruin ◽  
Dalia Terhesiu ◽  
Mike Todd
Keyword(s):  
Thermodynamic Properties ◽  
Central Limit ◽  
Limit Theorems ◽  
Central Limit Theorems ◽  
Stable Laws ◽  
Analytic Framework ◽  
Pressure Function ◽  
Hyperbolic Flows ◽  
Anosov Flows ◽  
Almost Anosov

AbstractWe obtain limit theorems (Stable Laws and Central Limit Theorems, both standard and non-standard) and thermodynamic properties for a class of non-uniformly hyperbolic flows: almost Anosov flows, constructed here. The link between the pressure function and limit theorems is studied in an abstract functional analytic framework, which may be applicable to other classes of non-uniformly hyperbolic flows.

scholarly journals Stability for the vertical rotation interval of twist mappings

2006 ◽  
Vol 14 (4) ◽  
pp. 631-642
Author(s):  
Salvador Addas-Zanata ◽  
Keyword(s):  
Rotation Interval ◽  
Twist Mappings

A continued-fraction procedure to determine invariant directions in twist mappings

1986 ◽  
Vol 117 (7) ◽  
pp. 333-336 ◽  
Author(s):  
M. Paramio ◽  
J. Sesma
Keyword(s):  
Continued Fraction ◽  
Twist Mappings

scholarly journals Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms

2018 ◽  
Vol 40 (3) ◽  
pp. 663-698 ◽  
Author(s):  
HENK BRUIN ◽  
DALIA TERHESIU
Keyword(s):  
Regular Variation ◽  
Return Time ◽  
Main Task ◽  
Two Dimensional ◽  
Dimensional Torus ◽  
Anosov Diffeomorphisms ◽  
Infinite Measure ◽  
Mixing Rates ◽  
First Return Time ◽  
Almost Anosov

The purpose of this paper is to establish mixing rates for infinite measure preserving almost Anosov diffeomorphisms on the two-dimensional torus. The main task is to establish regular variation of the tails of the first return time to the complement of a neighbourhood of the neutral fixed point.

scholarly journals Mixing rates for symplectic almost Anosov maps

Nonlinearity ◽  
2021 ◽  
Vol 34 (6) ◽  
pp. 3709-3731
Author(s):  
Peyman Eslami ◽  
Carlangelo Liverani
Keyword(s):  
Mixing Rates ◽  
Almost Anosov

scholarly journals Existence of periodically invariant tori on resonant surfaces for twist mappings

2020 ◽  
Vol 40 (3) ◽  
pp. 1389-1409
Author(s):  
Lianpeng Yang ◽  
◽  
Xiong Li
Keyword(s):  
Invariant Tori ◽  
Twist Mappings

Polynomial decay of correlations for almost Anosov diffeomorphisms

2017 ◽  
Vol 39 (3) ◽  
pp. 832-864
Author(s):  
XU ZHANG ◽  
HUYI HU
Keyword(s):  
Fixed Point ◽  
Decay Of Correlations ◽  
Polynomial Decay ◽  
Lower And Upper Bounds ◽  
Third Order ◽  
Anosov Diffeomorphisms ◽  
The Third ◽  
Srb Measures ◽  
Taylor Expansions ◽  
Almost Anosov

We investigate the polynomial lower and upper bounds for decay of correlations of a class of two-dimensional almost Anosov diffeomorphisms with respect to their Sinai–Ruelle–Bowen (SRB) measures. The degrees of the bounds are determined by the expansion and contraction rates as the orbits approach the indifferent fixed point, and are expressed by using coefficients of the third-order terms in the Taylor expansions of the diffeomorphisms at the indifferent fixed point.

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